To me a partial mash means that at least part of the wort came from extract so go ahead and do a partial mash where you use only one tablespoon of extract and the rest of the wort comes from the grain. The next batch you can just skip the extract, [emoji14]
Your 10 gallon pot is a decent size for a 5 gallon batch. Make sure you have a way to heat it. Measure it for the bag to fit, perhaps even a custom made one from one of the sponsers, Wilserbrewer. His bags are tougher than the paint strainer bags.
I like to take a recipe from the database here and then do a small tweak, sometimes because I lack one of the ingredients and need to find a substitute.
https://www.homebrewtalk.com/forum/#homebrewtalk-com-recipe-database.54